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Thirty Employed Single Individuals Were Randomly Selected to Examine the Relationship

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Thirty employed single individuals were randomly selected to examine the relationship between their age (Age) and their credit card debt (Debt) expressed as a percentage of their annual income. Three polynomial models were applied and the following table summarizes Excel's regression results. Thirty employed single individuals were randomly selected to examine the relationship between their age (Age) and their credit card debt (Debt) expressed as a percentage of their annual income. Three polynomial models were applied and the following table summarizes Excel's regression results.   If you impose the restrictions β<sub>2</sub> = β<sub>3</sub> = 0 on the model Debt = β<sub>0</sub> + β<sub>1</sub>Age + β<sub>2</sub>Age<sup>2 </sup><sup>+ β</sup><sub>3</sub>Age<sup>3 </sup>+ ε, what will be the sum of the squared errors (SSE<sub>R</sub>) computed for the restricted model? If you impose the restrictions β2 = β3 = 0 on the model Debt = β0 + β1Age + β2Age2 + β3Age3 + ε, what will be the sum of the squared errors (SSER) computed for the restricted model?


Definitions:

Human Capital

The collective skills, knowledge, or other intangible assets of individuals that can be used to create economic value for the individuals, their employers, or their community.

Marginal Resource Cost

The extra expense resulting from the consumption of an additional unit of a resource.

CEO Pay

The compensation package awarded to the chief executive officer of a corporation, which may include salary, bonuses, stock options, and other benefits.

Competitive Labor Market

A market in which workers compete for jobs and employers compete for workers, resulting in the equilibrium wage rate being determined.

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